First boundary Dirac eigenvalue and boundary capacity potential
From MaRDI portal
Publication:2699037
DOI10.1007/s00023-022-01233-6OpenAlexW4284695129MaRDI QIDQ2699037
Publication date: 26 April 2023
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.13286
Black holes (83C57) Gravitational energy and conservation laws; groups of motions (83C40) Spin and Spin({}^c) geometry (53C27) Global Riemannian geometry, including pinching (53C20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Conformal lower bounds for the Dirac operator of embedded hypersurfaces
- On Witten's proof of the positive energy theorem
- On the Riemannian Penrose inequality in dimensions less than eight
- Rigidity of compact Riemannian spin manifolds with boundary
- Spineurs, opérateurs de Dirac et variations de métriques. (Spinors, Dirac operators and variations of the metrics)
- On the proof of the positive mass conjecture in general relativity
- A Penrose-like inequality for the mass of Riemannian asymptotically flat manifolds
- The inverse mean curvature flow and the Riemannian Penrose inequality
- A new proof of the positive energy theorem.
- Proof of the Riemannian Penrose inequality using the positive mass theorem.
- Positive mass theorem and the boundary behaviors of compact manifolds with nonnegative scalar curvature.
- A geometric capacitary inequality for sub-static manifolds with harmonic potentials
- A positive mass theorem for manifolds with boundary
- Capacity, quasi-local mass, and singular fill-ins
- The positive mass theorem for manifolds with distributional curvature
- Complete manifolds with nonnegative scalar curvature and the positive action conjecture in general relativity
- The mass of an asymptotically flat manifold
- Removing Point Singularities of Riemannian Manifolds
- A spinorial proof of the rigidity of the Riemannian Schwarzschild manifold
- Dirac operator on embedded hypersurfaces
This page was built for publication: First boundary Dirac eigenvalue and boundary capacity potential